432=e*(0.75*e)

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Solution for 432=e*(0.75*e) equation:


Simplifying
432 = e(0.75e)

Remove parenthesis around (0.75e)
432 = e * 0.75e

Reorder the terms for easier multiplication:
432 = 0.75e * e

Multiply e * e
432 = 0.75e2

Solving
432 = 0.75e2

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Add '-0.75e2' to each side of the equation.
432 + -0.75e2 = 0.75e2 + -0.75e2

Combine like terms: 0.75e2 + -0.75e2 = 0.00
432 + -0.75e2 = 0.00

Add '-432' to each side of the equation.
432 + -432 + -0.75e2 = 0.00 + -432

Combine like terms: 432 + -432 = 0
0 + -0.75e2 = 0.00 + -432
-0.75e2 = 0.00 + -432

Combine like terms: 0.00 + -432 = -432
-0.75e2 = -432

Divide each side by '-0.75'.
e2 = 576

Simplifying
e2 = 576

Take the square root of each side:
e = {-24, 24}

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